Stability for implicit-explicit schemes for non-equilibrium kinetic systems in weighted spaces with symmetrization
Provides theoretical stability guarantees for numerical methods used in simulating non-equilibrium kinetic systems, which is important for computational scientists working on transport phenomena.
The paper proves stability for implicit-explicit numerical schemes for non-equilibrium kinetic systems in weighted spaces with symmetrization, with applications to advective and diffusive transport coupled to immobile component accumulation.
We consider kinetic systems and prove their stability working in weighted spaces in which the systems are symmetric. We prove stability for various explicit and implicit semi-discrete and fully discrete schemes. The applications include advective and diffusive transport coupled to the accumulation of immobile components governed by non-equilibrium relationships. We also discuss extensions to nonlinear relationships and multiple species.